Question 1071279: On Saturday mean amount of money spend by customers at Cafe was £4.00 .On Sunday, there were only half of many customers on Saturday but average spend was up to £7. What was the average mean amount spend by the customers over these two days?
Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! mean is total/n
total=mean*n=4n pounds on Saturday.
On Sunday, the total =mean*(1/2)n=(7/2) n pounds
The total for both days was 4n+(7/2)n= 7.5 n
The number was (3/2)n
The mean is their quotient, 7.5n/(1.5n), which is 5 pounds.
Put in some numbers to check.
Suppose 100 people were there Saturday and the average was 4. The total was 400.
On Sunday, 50 people were there and the average was 7. The total was 350.
The overall total was 750 and the number of people 150. The average was 5.
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